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Geometry Session 7: Symmetry
 

Symmetry is one of the most important ideas in mathematics. There can be symmetry in an algebraic calculation, in a proof, or in a geometric design. It's such a powerful idea that when it's used in solving a problem, we say that we exploit the symmetry of the situation. In this session, you will explore geometric versions of symmetry by creating designs and examining their properties.

In This Session:

Part A:

Line Symmetry

Part B:

Rotation Symmetry

Part C:

Translation Symmetry and Frieze Patterns

Homework

 

For information on required and/or optional materials for this session, see Note 1.

 
Learning Objectives

In this session, you will do the following:

• 

Learn about geometric symmetry

• 

Explore line or reflection symmetry

• 

Explore rotation symmetry

• 

Explore translation symmetry and frieze patterns


video icon

Throughout the session you will be prompted to view short video segments. In addition to these excerpts, you may choose to watch the full-length video of this session.

Keyterms

Previously Introduced:

New in This Session:

 

coordinates
reflection
rotation
translation

frieze pattern
glide reflection
reflection or line symmetry
rotation symmetry
symmetry
translation symmetry
vector

Next > Part A: Line Symmetry

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